SOME CONSTRUCTIVE -ADIC GENERALIZED GIBBS MEASURES FOR THE ISING MODEL ON A CAYLEY TREE

Abstract

The paper is devoted to some non-periodic -adic generalized Gibbs measures for Ising model on a semi-Cayley tree of order . We construct uncountable non-periodic -adic generalized Gibbs measures for the Ising model on a semi-Cayley tree. We study the boundedness of the measures. Furthermore, we find conditions that guarantee existence of the phase transition.